Step by Step instructions on:
How to root Samsung Galaxy S4 I9500
Step 2: Now boot your phone into Download Mode by pressing and holding the Volume Down + Home button together, and then press the Power button till you see the Android Construction logo. Once again press Power button to confirm.
Step 3: Open “Odin.exe” and connect your phone in download mode itself .
Step 4: Now, click on the Start button on Odin to start the installation process. Installation will take a few minutes to complete so please wait for the complete process.
Step 5: when the installation process is completed successfully you will see the “PASS” message on Odin and then your device will reboot automatically. Now, you can disconnect your device from the computer.
Finish now your phone is ROOTED